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Finding the Fourth Proportional to 269.55, 404.33 and 208.80

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Solution

The fourth proportional to 269.55, 404.33 and 208.80 is: 313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.55 : 404.33 = 208.80 : x
  2. Step 2: Convert to fraction form
    269.55/404.33 = 208.80/x
  3. Step 3: Cross multiply
    269.55x = 404.33 × 208.80
  4. Step 4: Simplify right side
    269.55x = 84,423.06
  5. Step 5: Solve for x
    x = 84,423.06/269.55
  6. Step 6: Final answer
    x = 313.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.